Untitled.ipynb

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   "source": [
    "from sympy import *\n",
    "from IPython.display import display\n",
    "init_printing(use_latex='mathjax')\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
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     "data": {
      "text/latex": [
       "$$2.0 a c + 2.0 b d$$"
      ],
      "text/plain": [
       "2.0⋅a⋅c + 2.0⋅b⋅d"
      ]
     },
     "execution_count": 37,
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   "source": [
    "a, b, c, d = symbols(\"a b c d\", real = True)\n",
    "A = a + 1.0j * b\n",
    "B = c + 1.0j * d\n",
    "C = A*conjugate(B) + B*conjugate(A)\n",
    "C.simplify()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1-2j)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
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   "source": []
  },
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   "source": []
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